A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity

A Stochastic Optimization Model for Groundwater Management

A Stochastic Optimization Model for Groundwater Management

Carrying capacity and demographic stochasticity: scaling behavior of the stochastic logistic model.

The stochastic logistic model is the simplest model that combines individual-level demography with density dependence. It explicitly or implicitly underlies many models of biodiversity of competing species, as well as non-spatial or metapopulation models of persistence of individual species. The model has also been used to study persistence in simple disease models. The stochastic logistic mode...

a stochastic optimization model for groundwater management

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Population Dynamics with Nonlinear Delayed Carrying Capacity

We consider a class of evolution equations describing population dynamics in the presence of a carrying capacity depending on the population with delay. In an earlier work, we presented an exhaustive classification of the logistic equation where the carrying capacity is linearly dependent on the population with a time delay, which we refer to as the “linear delayed carrying capacity” model. Her...